We look at the division of 157191 by 25 
Our goal is to divide 157191 by 25.

On to step 1:
The number 25 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 25

Moving on to step 2:
The number 25 fits into 15 0 times, leaving a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 25

On to step 3:
25 goes into 157 6 times with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 7 after subtracting 150 from 157.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 25

Let's proceed to step 4:
The number 25 fits into 71 2 times, leaving a remainder of 21.
The next digit of our result is 2. 
Result so far: 62.0
Subtract 50 from 71 to get 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 25

Let's proceed to step 5:
219 divided by 25 is 8 with a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 628.0
Deduct 200 from 219 and we're left with 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 25

Let's proceed to step 6:
191 divided by 25 is 7 with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 6287.0
If we subtract 175 from 191, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
160 divided by 25 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6287.6
The remainder is 10 after subtracting 150 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 6287.64
If we subtract 100 from 100, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6287.64
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6287.64
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 6287.64 with a remainder of 0.0.